4prim math term2

8/2/2019 4prim Math Term2

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Unit one

Fractions and decimals

Lesson 1 : Revision on fractions

Lesson 2 : Adding a fraction and a whole number.


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Lesson 3 : Decimals.

Lesson 4 : more about decimals.

Lesson 5 : Comparing decimals .

Lesson 6 : Operations on decimals.


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Notice that :

Is a fraction ,3 is called a numerator and 4 is called a denominator.

If the numerator and the denominator is multiplied or dividedby any

number other than zero , we get an equal fraction.


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If the numerator the denominator ,then its called an improper fraction

If the numerator the denominator ,then its is called propr fraction.

Improper fraction quotient

EX: 2

The decimal is a fraction with denominator 10 , 100 0r 1000 ,.

17

16

8

2


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This read as three hundred twenty five and nine hundred twenty seven

thousandths.

Writing zeroes at the end of the decimal fraction does not change its

value.

2.5

Units Hundredthstenths thousandthstens Decimal point

3

Hundreds

2 9 7


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Remember that

2 x 5 10

4 x 25 100

8 x 125 1000

1L.E 100 P.T

1 m 100 cm

1cm 100 mm

1 Km 1000 m

1 Kg 1000 gm


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Sheet 1

Lesson 1, 2

1 Complete each of the following:

a b


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c

d

e6

f Three fifths

2 Convert into an improper fraction:

a

b

c4

d1


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e5 f 1

3 Convert into a mixed numbers:

a

b

cThirteen thirds

d17 quarters


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4 Complete each of the following:

a3 halves

b , then

cIn the improper fraction, the numerator is ..the denominator.


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sheet 2

lesson 3 , 4

1write in a decimal form:

a Six and four tenths . ..


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b Thirty two and five hundredths . ..

c Twelve and twelve hundredths. ..

d Five and fortytwo thousandths. ..

2complete each of the following:


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a 5 as a decimal form

b 3.36 . in words

c 3.7 3 .

d 3.456 3 .. 0.006


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e 0.4 1

f 0.2 0.3 .. 1

g . 3 hundreds 6 units 4 tenths.


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h The place value of the digit 3 in the number 25 . 23 is ..and its

value is

3write in a decimal form:

a b .


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c

d .

e

f

4choose the correct answer:

a The place value of 3 in 2.37 is .. units , tens , tenths , hundredths


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b 0.6 hundredths . 6 , 60 , 600

c 0.25 .. , ,

d Thirty five thousandths 3.5 , 0.35 , 0.035

e 0.3 0.7 . 0.1 , 1 , 10


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f 27 tenths . 2.7 , 0.27 , 270

5write the missing numbers on the number line:

........................

............

2 4 2 5


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Sheet 3

Lesson 5

1write the missing numbers :

a0.6 b. 0.16


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c0.2 . 0.3

d. 0.3 .

e73.02 . 73.022

f 0.19 .. 0.2

g0.14 0.15

h 0.6 ..

2 put the suitable sign , , :


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a6.98 5.98

b5.25 5.23

c3.60 3.6

d1.2 1

e 1.25 1

f 1 1.05

g 3hundreds and 4 tenths 30.04

h 1 0.999


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3aArrange in an ascending order:

0.35 , 0.53 , 5.3 , 3.5 , 0.5

.

bArrange in a descending order:


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2.7 , 1.8 , 2 , 2.43

Sheet 4


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Lesson 6

1find the result:

a 4 . 6 2 b 6 . 3 5

4 . 8 1 2 . 5 9 4

+ +


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C 7 . 9 8 d 6 . 3 8

5 . 1 3 2 2 . 9


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e 3.3

7 1 . 3 2 .

f 8

2 . 2 6

g 7

3 . 8 5 ..

h

0. 1 2 5 .


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2Fill in the missing numbers:

a . 3 . 6 6

b 4 . 2 .. 5. 3

c 3 . 8 1 . 4

d 1 . 3 2.3 .. 7

e 2 .. 3 .7

f 2.2 5


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g 4 . 3 1 . 8

h 4 . 8 . 3 . 1 4

i 4 10

j 3 10

k Two fifths .. whole one.

3 put the suitable sign , , :


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a 2 . 1 3 . 2 5 . 1 1 . 3

b 2 . 3 5 . 4 8 0 . 3

c 7 . 32 1.93 6 . 78 0.42

d 6 . 3 1.4 2 . 1 0 . 4

e 5 5. 125

f 8 5 . 3 1 . 6 0 . 9

4fill in the m issing digits:


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a 3 . 2 b 8 3 . 5 7

5 . 3 . 7 3 4

. 7 9 2 4 .

+


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5a Ibrahim bought a ball for L.E 9. 75 and a book for L.E 8 . 5 .How much

money did he pay?

.

b Ahmed has L.E 5. 35 and his sister Heba has L.E 8.7 ,find the difference

between what they have.


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..

c The price of one Kg of meat is L.E 35 , a family eats one and half Kg .of meat

every week ,How much money did this family pay for the meat in a month?.


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Sheet 5

Lesson 6



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a7 3 4 100

b340 1000

c. 10 45 . 2

d393 10 .

e230 P.T L.E ..

f 3267 gm ..Kg

g285 cm .. m

h39 dm. ..m


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2put the suitable sign , , :

a3 7 2 10 3 7 2 100

b4 . 3 2 . 5 480 100

c1325 m 1. 325 Km


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d6140 gm 6 . 1 4 Kg


a2 5 . 4 , ,

b1 .. 0 . 4 , 1 . 4 , 4 . 1 , 14


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c. 10 4 . 5 4 . 5 , 0. 45 , 54 , 45

d75 .. 0.75 10 , 100 , 1000 , 1

e 4 . 3 2 . 7 10 .. 6 , 7 , 0.7 , 70

f 4 9 50 Kg 5 tons , ,


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Unit 1 test


a 1 . 6 8 . 6


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b 3 . 65 3 . 0 . 05

c 530 . 64 237 . 1 894 . 7 89 . 58 .

d The value of the digit 5 in 2 . 354 is

e 2 hundredths.


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a2 , ,

b .. , ,

c0 . 8 .. , ,


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d . 0 . 007 , 0 . 07 , 0 . 7

e 0.1 .. 0.2 0.3 , 0.12 , 0.002

3a write the value of the circled digit:

a 3 . 8 5 ..


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b 2 5 5 . 2 5

c 3 8 . 1 0 2

bwrite three decimal numbers between 0.3 and 0.4 .

..


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4 a Find the result:

a4 . 47 3

b 285 100 ..

c 1 5 . 2 9 12

d 3. 8 2 . 5 3 . 9 ..


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b put the suitable sign , , :

a `6 . 37 10 637 1000

b 12 . 5 1 . 7 7 . 82 7 . 75

c 4 . 3 2 . 9 5 . 1 3 .8


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d 385 cm 4 meters

5a Arrange in an ascending order :

5 . 38 , 5 . 83 , 3 . 85 , 3 . 58 , 5 . 3

The order : ..


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b Ibrahim has L.E 60 , he bought a toy for L.E 32 . 75 and a book for L.E 19 . 5

.find the left money with him.

.


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Lesson 1 : Approximating to the nearest 10

Lesson 2 : Approximating to the nearest 100 and 1000

Lesson 3 : Approximating to the nearest 10 000 and 100 000


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Lesson 4 : Approximating to the nearest unit

Lesson 5 : Approximating to the nearest tenth


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Notice that:

The approximation is replacing the exact number by a simpler number closer

to it.

Rules:

When approximating a number to the nearest 10 :


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increase the tens digit by 1 and replace the units digit by 0 if the units

digit is 5 or more.

Keep the tens digit as it is and replace the units digit by o if the units

digit is less than 5

When approximating a number to the nearest 100 :


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increase the hundreds digit by 1 and replace all the digits to its right by

0 if the tens digit is 5 or more.

Keep the hundreds digit as it is and replace all the digits by o if the tens

digit is less than 5

When approximating a number to the nearest unitwhole number:


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Cancel the fraction or the decimal part and increase the units digit by 1

if the fraction is 0.5 or more

Cancel the fraction or the decimal part and keep the whole number as it

is ,if the fraction is less than 0.5.


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Sheet 6

Lesson 1 , 2 , 3



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a 4 6 to the nearest 10

b 3 2 8 to the nearest 100

c 152 8 to the nearest 1000

d 629 .. to the nearest 1000


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e 392 to the nearest hundreds


a 38 40 to the nearest .. ten , hundred , thousand

b 450 to the nearest 10 455 , 443 , 448


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c .. 5000 to the nearest 1000 5432 , 5623 , 4236

d 279 to the nearest hundred 200 , 700 , 270 , 300

e 47765 to the nearest ten thousands 40000 , 50000 , 30000


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f 6584 . 37 6600 to the nearest .. 10 , 100 , 1000

g 9 to the nearest 10 1 , 0 , 90 , 10

h 8 . 56 to the nearest 10 10 , 9 . 56 , 9


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3Find the result then complete:

a3765 2437 .. . to the nearest 100

b8173 2534 .. to the nearest 1000


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c534 . 3 28 . 37 to the nearest 100

d85372 100 . .. to the nearest 100

e623 . 3 53 . 5 .. to the nearest 10


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4 a write four whole numbers if each approximated to the nearest 100 , the

result is 600.

..

b write four whole numbers if each approximated to the nearest 1000 , we

get 3000.


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..

5a Ibrahim bought 8 books for L.E 7 each ,How much did he pay ?to the

nearest 10

.


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b Ibrahim bought a fridge for L.E 1346.4 and a stove for L.E 925.8 ,calculate

what did he pay approximating the result to the nearest 1000.


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Sheet 7

Lesson 4


a 5 . 7 . to the nearest unit


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b 3 .. to the nearest unit

c 6 . 3 8 .. to the nearest unit

d 24 . to the nearest unit

e 0 . 7 2 to the nearest unit


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f 7 . to the nearest unit

g 240 P.T .L.E to the nearest L.E

h 2 . 3 5 Km ..m to the nearest metre

i 235 cm m to the nearest metre


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j 450 cm2 ..m2 to the nearest squared metre

k 5 Kg .Kg to the nearest Kg

l 3165 dm2 m2 to the nearest m2

m17 days week/s. to the nearest week


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n 34 months .year. to the nearest year



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a3 . 85 to the nearest whole number . 3 , 4 , 3 . 9

bP.T 1935 L.E 20 , 19 , 19 .6

c725 gm ..K.g 1 , 8 , 7. 25

dP.T 325 L.E 4 , 3 , 5 , 6


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3aIbrahim bought a book for L.E 7 and a sharpener for L.E 0.45, How

much money did he pay?Approximated to the nearest L.E .

.

bSarah bought 3 K.g of apples for P.T 475 each .How much money did she

pay ? approximated to the nearest pound.


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cThe length of a rectangle is 13.7 cm and its width is 8.2 cm .find its

perimeter.Approximated to the nearest cm.

..


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.

dThe side length of a square is 24 cm .find its perimeter .Approximated to

the nearest metre.


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Sheet 8


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Lesson 5

1Approximate to the nearest :

a 6. 2 8 b 0 . 57 ...


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c 13 . 2 3 1

d 5 ..

e 12 .

f 7 . 26

2 Complete the following:

538 . 254

To the nearest 10

To the nearest 100

To the nearest unit

To the nearest tenth

.

.

.

.


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3Find the result then approximate to the nearest tenth:

a 23 . 75 16 . 4 0 . 386 ..

b 538 1000 .

c 15 . 4 6 . 916 . 5.3 cm


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d 0 . 5678 1000 ..

4Find the perimeter of the opposite figure:

approximated to the nearest cm.

..

3.7cm

2.1

cm

4.2 cm


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Unit 2 test


a 376 P.T L.E

b 240 cm2 .. m2

c 4 .. to the nearest unit


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d 4 . 2 .to the nearest tenth.

e 782 100 to the nearest 10.


a . 1 . 5 to the nearest tenth. 1 . 44 , 1 . 56 , 1 . 52

b 29 days .weeks 4 , 5 , 6 , 7


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c 327 300 to the nearest .. unit , ten , hundred

d 443 . 2 0 to the nearest .. unit , ten , thousand

e 20 months .. year/s. 1 , 2 , 3 , 4

3awrite the greatest number and the smallest whole number that if

approximated to the nearest ten , we get 50 .


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The greatest .. the smallest ..

b complete:

To the nearest 100

382 . 85

To the nearest tenth

To the nearest unit

To the nearest 10

.

.

.

.

To the nearest 1000 .


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4find the result ,then approximate to the nearest . :

a 34 . 77 3 . one decimal place


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b 37 . 59 28 . 461 .. whole one .

c 18540 1000 .. . ten .

d 43 . 8 21 . 04 .. .. hundred


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5Mariam bought a dress for L.E 89 . 6 and a blouse for L.E 30 . 75 .if she had

L.E 200 .Find the left money with her .approximated to the nearest pound.


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Lesson 1 :Congruency

Lesson 2 : Symm etric figures ,line of symmetry.


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Lesson 3 : Coordinate system.

Lesson 4 : Visual patterns.


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Sheet 9

Lesson 1

1Put or x :

A circle and a square can be congruent.

Any two squares are congruent.


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The diagonal of the rectangle divides it into two congruent triangles.

Two triangles are congruent if their corresponding sides are equal in

length.

Two squares are congruent if the side length of the first equals the side length

of the second.


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The diagonal of the parallelogram divides it into two congruent triangles.

2draw a line to get two congruent figures if possible :


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3complete:

a Two polygons are congruent ,if their corresponding sides are .and

their corresponding angles are

b If the polygon ABCD is congruent to the polygon XYZL ,then

m z m

c The rectangle ABCD the rectangle XYZL, then BC .


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4IN the opposite figure ,polygon ABCDEF the polygon ABXYZK,complete:

a CD ..

b X

c KA ..

d m Y m ..


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5In the opposite figure , if AMN YEJ, complete:

YN

A

M

J E

4555

3 cm


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a AM .

b E ..

c EJ .. .cm


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d m Y m .. ..

e m J ..


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6From the opposite figure ,if FC is a line that divides it into two congruent

figures , complete:

a AB

b BC ..

c M B m . ..

F

C

EA

100 DB

60


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d E .

e The sum of the measures of the interior angles of the polygon CBAF is

.

f m E m . .


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7Draw a rectangle ABCD where AB 3 cm , BC 5 cm ,then draw a line to

divide it into :

1two congruent triangles 2two congruent rectangles


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Sheet 10

Lesson 2

1Complete each of the following:


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a The square has ..line

s of symmetry.

b The rectangle has

..line s of symmetry.


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c The parallelogram has


d The rhombus has



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e The trapezium has


f The isosceles trapezium

has ..line s of symmetry.


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g The equilateral triangle

has ..line s of symmetry.

h The isosceles triangle has



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i The scalene triangle has


j The circle has

.line s of symmetry.


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k Number of common lines

of symmetry for two circles and a square is .


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l The diagonal of the

rectangle divides it into two triangles ,but it is not a

.of the rectangle.


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Sheet 11

Lesson 3

1From the coordinates plane ,complete:

aA . , .

bB . , .

8

7

6

5

4

2

10986543

10

3

1

9

721O

.

.

.A


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cC . , .

dD . , .

eABCD is a ..

f AB

.

B

C

D


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2on the coordinates plane show n,plot the points A 2, 1 , B 5 , 1 ,

C 5 , 5 and D 2 , 5 .

aThe figure ABCD is

bIt has line s of symmetry.

8

7

6

5

4

2

10986543

10

3

1

9

721O


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cIts perimeter

dIts area


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3Complete:

aIf 2 , 5 2 , x , then x .

bIf x , 4 3 , y , then x and y

cIf x2 , 5 6 , 5 , then x ..


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Unit 3 test

1 Complete:


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a Two polygons are congruent if their sides are ...and their

angles are

b If point A 3 , 5 , then 1stcoordinate of A is .

c The rhombus has . Lines of symmetry.


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d If 4 , 5 2x , 5 ,then x .

2Choose the correct answer:

a The trapezium has lines of symmetry . 1 , 2 , 4 , 0


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b A square of side length 4 cm can be congruent with another square whose

perimeter is 1 , 4 , 8 , 16

c If ABC RST , then B .. R , S , T

d The parallelogram has .lines of symmetry . 1 , 2 , 0 , 3


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e The diagonal of the rectangle divides it into two triangles

congruent , symmetrical , different

3 in the opposite figure:

If ABC XYZ, then

5cm

A

B C Z

X

Y


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a XY ..

b AC

c B .

d BC ..cm


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4in the 2 dimensional coordinate plane ,draw the figure ABCD where A 2,3 ,B 7 , 3

, C 7 , 8 and D2 , 8 , then answer the following:

What is the name of the figure ?


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How many lines of symmetry does the figure ABCD has?

8

7

6

5

4

2

10986543

10

3

1

9

721O


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Lesson 1 ; Capacity.


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Lesson 2: Weight.

Lesson 3: Time.


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Lesson 4 : Temperature.


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The units of capacity:

1 liter dm3 1000 ml cm3

The units of weights:


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1 ton 1000 Kg

ton 250 Kg

ton 500 Kg

ton 750 Kg

1 Kg 1000 gm

Kg 250 gm

Kg 500 gm

Kg 750 gm

The units of time:


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Century 100 years

Year 12 months

Month 30 days

1 hour 60 min

hour 30 min

hour 20 min

hour 15 min

hour 40 min

hour 45 min

1 minute 60 seconds


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minute 30 seconds

minute 20 seconds

minute 15 seconds

minute 40 seconds

minute 45 seconds.

1 day 24 hours

day 12 hours

day 8 hours

day 6 hours

day 16 hours


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day 18 hours


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Sheet 12

Lesson 1 , 2


a 5000 ml ..litres b 24 dm3 ml


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c 3 Kg gm

d 2 tons ..Kg.

e 7 liters , 60 ml .ml

f .. tons 7250 Kg

g Liter cm3

h gm 4 Kg , 500 gm


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a 1 liter 1 dm

b 3000 gm 3 Kg

c Liter 0.75 dm3 1000 ml

d 7250 gm Kg 7 tons

e 1750 ml 2 liters

f 2 liters 225 ml


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g 5 Kg , 250 gm 5 Kg h 1 liter , 600 ml 2 liters

3 Choose the correct answer:

a The unit of measuring capacity is ..pound , Kilogram , Litre

b Weight of golden ring may be 3 Kg . 3 gm , 300 gm


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Sheet 13


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Lesson 3 , 4


a 3 hours .min .

b 30 days weeks , .days

c 2 hours , 20 min . ..min.


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d Normal body temperature is

C

e hour .min

f hour ..seconds

g Water boils at ..c

h 180 seconds .min.


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a Hours 40 min

bNormal body temperature 30 c

c1 min 75 seconds

d50 days 2 months

e1800 seconds hour


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f Freezing point of water boiling point of water

3Arrange in an ascending order :

a 1 hours , 120 minutes , 3600 seconds.

..


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b day , 3600 seconds , 44 minutes , 1 week .

..

Unit 4 test


a3 . 5 liters ...ml b2 . 37 tons ..Kg


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c1 hour .seconds

dWater freezes at ..c

e3000 gm .Kg.


a 4000 gm Kg 4 , 40 , 400 , 40000

b Liter ml 25 , 250 , 2500

c Minute ..seconds 50 , 12 , 30 , 45


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d 18 hours day , , ,

e 1 . 5 tons ..Kg 15 , 150 , 1500

3aArrange in an ascending order :

Liter , 500 ml , 0.6 liters

bput the suitable sign , , :


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a1 liter , 50 ml 1.5 liters

b4 Kg 4000 gm

c1.3 tons 1.3 Kg

d2 hours , 20 min 100 min

e3 weeks , 4 days 25 days

4a worker earns L.E 5 . 5 for each working hour .if he spends 10 hours working

each day .calculate his earnings for

aOne day


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b15 days

cA month

dA year


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Lesson 1 : Collecting and representing data.


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Lesson 2 : Probability.


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Sheet 14

Lesson 1 , 2


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1There are 40 pupils in a class, 25 of them are girls .if a pupil is chosen

randomly then , find the probability that the pupil is

aA girl

bA boy


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2complete:

aThe probability of the impossible event is

bProbability of getting a tail when tossing a coin is .

cProbability of getting an odd number when rolling a die once is


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dThe probability of any possible event is between and

3 the following table shows the production of a car factory within 6 months in

hundreds.


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Month July Aug. Sep. Oct. Nov. Dec.

Number

of cars

4 5 3 6 2 5


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Represent these data by a histogram.


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Sheet 15

Lesson 1 , 2

1A die is rolled once , find the probability of getting :

aAn odd number


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bThe number 5

cA number less than 7

dA number more than 2

eA number more than 8


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2 A box contains 3 red balls , 5 blue balls and 4 green balls ,if a ball is chosen

at random , the find the probability that the ball is :

aRed

bYellow


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cGreen or red

dNot green

3 The table below represents money which Mona and sandy saved in three

months :


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Name month Jan. Feb. March

Mona 10 25 25

Sandy 20 15 25


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Represent these data by a double bar graph.

Unit 5 test


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130 cards are num bered from 1 to 30 .if a card is chosen at random then find

the probability that the number on this card is :

aEven

bDivisible by 5


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cBetween 10 and 15

dLess than 13


aProbability of .event is 1 . possible , sure , impossible


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bWhen rolling a die once , then the probability of getting a number more

than 7 is . , 0 ,

cProbability of getting an even number when rolling a die once is .

. , , .


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3 The following table shows the marks obtained by Mohamed and salma in the

final exams:

Name Arabic Math science S.studies English

Subject

4prim math term2

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